GCD of 969, 495, 327, 738 Calculator

Given Input numbers are 969, 495, 327, 738

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 969, 495, 327, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 495, 327, 738 is 3.

Therefore, GCD of numbers 969, 495, 327, 738 is 3

Given Input Data is 969, 495, 327, 738

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 327 is 3 x 109

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(969, 495) = 159885

GCD(969, 495) = ( 969 x 495 ) / 159885

GCD(969, 495) = 479655 / 159885

GCD(969, 495) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 327

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 327) = 327

GCD(3, 327) = ( 3 x 327 ) / 327

GCD(3, 327) = 981 / 327

GCD(3, 327) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 738

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

GCD(3, 738) = 2214 / 738

GCD(3, 738) = 3

GCD of 969, 495, 327, 738 is 3

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1. What is the GCD of 969, 495, 327, 738?

GCD of 969, 495, 327, 738 is 3

2. Where do I get the detailed procedure to find GCD of 969, 495, 327, 738?

You can find a detailed procedure to find GCD of 969, 495, 327, 738 on our page.

3. How to find GCD of 969, 495, 327, 738 on a calculator?

You can find the GCD of 969, 495, 327, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.